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almond37 [142]
3 years ago
13

What is the solution to the given inequality? -2x + 4 < 12

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

-2x +4 < 12

-2x < 12 -4

-2x < 8

x > -8/2

x > -4

marissa [1.9K]3 years ago
8 0

Answer:

x > - 4

Step-by-step explanation:

- 2x + 4 < 12 ( subtract 4 from both sides )

- 2x < 8

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > - 4

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Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?
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<span>Given: Rectangle ABCD 
Prove: ∆ABD≅∆CBD 
Solution:
                      
           <span> Statement                                       Reason 
</span>
  ABCD is a parallelogram          Rectangles are parallelograms since the                                                          definition of a parallelogram is a quadrilateral                                                    with two pairs of parallel sides.

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</span>∆ABD≅∆CBD                             SSS postulate: three sides of ΔABD is                                                           equal to the three sides of ∆CBD<span>


</span><span>Given: Rectangle ABCD 
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</span>Solution:
                      
           <span> Statement                                       Reason 
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        Angle A = Angle C                 Since both are right angles, they are                                                                  congruent

Segment AB = Segment DC       The opposite sides of a parallelogram are     Segment AD = Segment BC       congruent. This is a theorem about the                                                              parallelograms.

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